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Finding the Fourth Proportional to 189.18, 261.09 and 137.34

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Solution

The fourth proportional to 189.18, 261.09 and 137.34 is: 189.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.18 : 261.09 = 137.34 : x
  2. Step 2: Convert to fraction form
    189.18/261.09 = 137.34/x
  3. Step 3: Cross multiply
    189.18x = 261.09 × 137.34
  4. Step 4: Simplify right side
    189.18x = 35,858.10
  5. Step 5: Solve for x
    x = 35,858.10/189.18
  6. Step 6: Final answer
    x = 189.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.